Abstract (EN)

We study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities. We first identify the effective Hamiltonian and an approximate corrector by studying the associated metric problem. Then, we prove the main homogenization result by means of a non-local version of the perturbed test function method.